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Source separation problem.

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areche

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Hi all,

I'm new in this forum and I thank you in advance for your help.

My problem is the following. I have a couple of signals (X, Y) and I want to separate the two sources that compose it (X1,Y1) and (X2,Y2).

I know that (X1,Y1) has low frequencies from 0 to ~3500Hz and that (X2,Y2) has frequencies in between 3000Hz and 7000Hz.

I already tried filtering the original signals using Butterworth and Chebyshev filters which work quite well although the sources are not as clean as I expected. I guess because of the overlap of the two of them.

I know that the source (X1,Y1) has a curious property, the norm of every couple of values of this source is always 1.

My questions is the following. Is it possible to design a new filter that takes into account this curious property and separates the sources as a whole system where X and Y are not completely independent.

Thank you very much,

Alex
 

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